Problem set 3 -week 3 challenge: Anti-roll bar optimization

1) Here to calculate the Roll Moment I consider the lateral g (Ay=1) because there was no value for this. I firstly calculate the lateral and gravity component. The gravity component has a small effect for roll because we multiply the gravity equation with sin(a) where (a) is the roll angle. Since the roll angle is small I just multiply the gravity equation with pi/180. Then I summed the lateral and gravity component to determine the Roll Moment.

2) After I find the Roll Moment, I diveded this value to the Roll Stiffnes to determine the Roll Angle. Since I consider the Lateral g (Ay=1), The Roll Angle and the Roll Gradient will have the same value (Roll Gradient=Roll Angle/Ay).

3) To determine the Load Transfer due to the Roll, I just diveded the Roll Moment by the lenght of the Track.

4) To determine the Roll Stiffness at WC level,I considered the Tire Contribution because the isolation of the tire has a significant effect of roll.

5) I determine the ARB spring rate for jounce by using the equation;

500.000*(OD^4-ID^4)*MR^2/(0.4422*A^2*B+0.2264*C^3)

6) To determine the ARB spring rate for roll I just multiply the equation above by faktor 2. The reason why we multiply it with faktor 2 is because during roll both side of the wheels are effecting from the stiffnesses.

7) Actually I didnt understand the differences between Front ARB stiffness and front ARB spring stiffnes but I just used the formula which you provided us. But I thought that the formula was just for determine any stiffnesses at the WC level but here we determined with this formula the ARB stiffness. If you would give an feedback about it I will be happy.

8) To determine the percentage of the Auxiliary stiffness, firstly I calculated the ARB contribition. Then I diveded the ARB contribution by the Roll stiffness at WC level and then multiply with 100.